In the following probability distribution, the random variable x represents the number of activities a parent of a

K to 5th-grade student is involved in. Complete parts (a) through (f) below.

x P(x) 0 0.414 1 0.308 2 0.117 3 0.088 4 0.073

(a) Verify that this is a discrete probability distribution.

b) Graph the discrete probability distribution

(c) Compute and interpret the mean of the random variable x.

(d) Compute the standard deviation of the random variable x.

e) What is the probability that a randomly selected student has a parent involved in three activities?

(f) What is the probability that a randomly selected student has a parent involved in three or four activities?